使用CubicTo绘制贝塞尔曲线

时间:2014-08-09 12:40:45

标签: android android-canvas android-drawable bezier cubic-spline

以下代码生成BezierCurves并创建要在画布上绘制的Path对象。 我将this code从C#.Net转换为Android。

问题:当我绘制点时,点不会形成连续的曲线。它在中间断裂并再次继续。我认为问题出在AddBeziers,我使用cubicTo生成曲线。这可能与.Net中的GraphicsPath.AddBeziers方法不匹配。

我该如何解决这个问题?

生成的点

  • x坐标 - [0,55,-44,-54,-44,55,0]
  • y坐标 - [0,-189,-20,-125,-230,-59,-250]

这是必须在画布上绘制的图。

Path figure = new Path();
BezierCurve verticalCurvex = BezierCurve.CreateVertical(250);
verticalCurvex.FlipVertical();                  
verticalCurvex.FlipHorizontal();
AddBeziers(figure, verticalCurvex.Points);

适用于Android的AddBeziers方法

private Path AddBeziers(Path path, Point[] points) {

        int index = 1;
        if (points.length > 3) {
            path.moveTo(points[0].X, points[0].Y);
            path.cubicTo(points[index].X, points[index].Y, points[index + 1].X,
                    points[index + 1].Y, points[index + 2].X,
                    points[index + 2].Y);
        }

        index = index + 3;
        if (points.length > 5) {
            path.cubicTo(points[index].X, points[index].Y, points[index + 1].X,
                    points[index + 1].Y, points[index + 2].X,
                    points[index + 2].Y);
        }

        return path;
    }

BezierCurve Class for android

package com.example.newone;

public class BezierCurve {

    // NOTE : A point's x and y positions are measured from bottom-left corner of the piece.
    // X~RATIO  =     point's x position / piece's width
    // Y~RATIO  =     point's y position / piece's height
    private static final double X2RATIO = 0.760869565217391;
    private static final double Y2RATIO = 0.183946488294314;

    private static final double X3RATIO = 0.0802675585284281;
    private static final double Y3RATIO = 0.150501672240803;

    private static final double X4RATIO = 0.5;
    private static final double Y4RATIO = Y2RATIO;

    private static final double X6RATIO = X2RATIO;
    private static final double Y6RATIO = Y2RATIO;

    private static final double X5RATIO = X3RATIO;
    private static final double Y5RATIO = Y3RATIO;

    private static final double CURVE_TENSION = 1.2;

    public Point[] Points ;

    public static BezierCurve CreateHorizontal(int length)
    {
        double curvature = length * CURVE_TENSION;

        int x1, y1;     // First curve's starting point
        int x2, y2;     // First curve's first control point
        int x3, y3;     // First curve's second control point
        int x4, y4;     // First curve's ending point, second curve's starting point
        int x5, y5;     // Second curve's first control point
        int x6, y6;     // Second curve's second control point
        int x7, y7;     // Second curve's ending point

        // First curve (first curve's ending point is (X4, Y4), which is also second curve's end point      
        x1 = 0;
        y1 = 0;

        x2 = x1 + (int)(length * X2RATIO);
        y2 = y1 + (int)(curvature * Y2RATIO);

        x3 = x1 + (int)(length * X3RATIO);
        y3 = y1 - (int)(curvature * Y3RATIO);

        x4 = x1 + (int)(length * X4RATIO);
        y4 = y1 - (int)(curvature * Y4RATIO);

        // Second curve (second curve's ending point is (X4, Y4) )      
        x7 = x1 + length;
        y7 = y1;

        x6 = x7 - (int)(length * X6RATIO);
        y6 = y7 + (int)(curvature * Y6RATIO);

        x5 = x7 - (int)(length * X5RATIO);
        y5 = y7 - (int)(curvature * Y5RATIO);

        BezierCurve curve = new BezierCurve();

        curve.Points  = new Point[] 
            {
                new Point(x1, y1), 
                new Point(x2, y2),
                new Point(x3, y3), 
                new Point(x4, y4),
                new Point(x5, y5), 
                new Point(x6, y6),
                new Point(x7, y7)
            } ;


        return curve;
    }

    public static BezierCurve CreateVertical(int length)
    {
        BezierCurve curve = CreateHorizontal(length);
        curve.Rotate(90);

        int offsetX = 0 - curve.Points[0].X;
        int offsetY = 0 - curve.Points[0].Y;

        return curve.Translate(offsetX, offsetY);            
    }

    public BezierCurve Translate(int transX, int transY)
    {            
        for (int i = 0; i < this.Points.length; i++)
        {
            this.Points[i].X += transX;
            this.Points[i].Y += transY;
        }

        return this;
    }

    public BezierCurve FlipHorizontal()
    {
        for (int i = 0; i < this.Points.length; i++)
        {
            this.Points[i].X *= -1;                
        }

        return this;
    }

    public BezierCurve FlipVertical()
    {
        for (int i = 0; i < this.Points.length; i++)
        {
            this.Points[i].Y *= -1;
        }

        return this;
    }

    // ===============================================
    // Transformation code adapted from C++ source code in the book
    // Direct3D Programming (Kickstart) by Clayton Walnum
    // ===============================================
    public BezierCurve Rotate(int degrees)
    {
        double radians = 6.283185308 / (360 / degrees);
        double cosine = Math.cos(radians);
        double sine = Math.sin(radians);

        for (int i = 0; i < this.Points.length; i++)
        {
            int rotatedX = (int)(this.Points[i].X * cosine - this.Points[i].Y * sine);
            int rotatedY = (int)(this.Points[i].Y * cosine + this.Points[i].X * sine);

            this.Points[i].X = rotatedX;
            this.Points[i].Y = rotatedY;
        }

        return this;
    }
}

点类

package com.example.newone;

public class Point {

        public int X;
        public int Y;

   public Point(int x , int y)
   {
       X= x;
       Y= y;
   }
}

1 个答案:

答案 0 :(得分:1)

关于cubicTo()的Android文档,

从最后一点添加一个三次贝塞尔曲线,接近控制点(x1,y1)和(x2,y2),并以(x3,y3)结束。如果没有对此轮廓进行moveTo()调用,则第一个点将自动设置为(0,0)。

看起来你只需要在第二次调用path.cubicTo()之前添加对moveTo()的调用。

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